To solve the equation \( u + \frac{11}{3} = \frac{1}{3} \) using inverse operations, we will isolate \( u \).
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Start with the equation: \[ u + \frac{11}{3} = \frac{1}{3} \]
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To isolate \( u \), subtract \( \frac{11}{3} \) from both sides: \[ u = \frac{1}{3} - \frac{11}{3} \]
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Now, perform the subtraction on the right side: \[ u = \frac{1 - 11}{3} = \frac{-10}{3} \]
Thus, the solution is: \[ u = -\frac{10}{3} \]
The correct answer is \( D(-\frac{10}{3}) \).